Finding the Fourth Proportional to 10,298.13, 14,211.41 and 5,582.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.13 : 14,211.41 = 5,582.41 : x
2. Step 2: Convert to fraction form
   10,298.13/14,211.41 = 5,582.41/x
3. Step 3: Cross multiply
   10,298.13x = 14,211.41 × 5,582.41
4. Step 4: Simplify right side
   10,298.13x = 79,333,917.30
5. Step 5: Solve for x
   x = 79,333,917.30/10,298.13
6. Step 6: Final answer
   x = 7,703.72